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LCM Calculator

Result

LCM:

GCD:

Steps:


                

LCM Calculator 📈

  1. What Is LCM?

    • The Least Common Multiple (LCM), also known as the Lowest Common Multiple (LCM) or Least Common Divisor (LCD), is a fundamental concept in mathematics.
    • For any two integers a and b, denoted as LCM(a, b), the LCM is the smallest positive integer that both a and b divide evenly into.
    • For example:
      • LCM(2, 3) = 6 (since 6 is the smallest number divisible by both 2 and 3).
      • LCM(6, 10) = 30.
  2. How to Use the LCM Calculator:

    • Input the numbers you want to find the LCM for. You can separate them using commas or spaces (e.g., 12, 15, 20 or 12 15 20).
    • Click the "Calculate LCM" button. The LCM will be displayed along with a step-by-step breakdown of the calculation process.
    • Click the "Reset" button to clear the input and start over.
  3. Manual LCM Calculation Method:

    • Step 1: List the prime factors of each number.
    • Step 2: Identify the highest power of each prime number from the factors.
    • Step 3: Multiply the highest powers of each prime number together to get the LCM.
    • Example:
      • For 12 and 15:
      • Prime factors of 12: 2^2 * 3
      • Prime factors of 15: 3 * 5
      • LCM: 2^2 * 3 * 5 = 60
  4. Benefits of Using an LCM Calculator:

    • Saves time and effort by automating complex calculations.
    • Reduces the risk of manual calculation errors.
    • Provides step-by-step solutions for better understanding.